Neutrino quantum kinetic equations: The collision term

Blaschke, Daniel N.; Cirigliano, Vincenzo

doi:10.1103/PhysRevD.94.033009

Title: Neutrino quantum kinetic equations: The collision term

Journal Article · Mon Aug 01 00:00:00 EDT 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.94.033009· OSTI ID:1321763

Blaschke, Daniel N. ^[1]; Cirigliano, Vincenzo ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

We derive the collision term relevant for neutrino quantum kinetic equations in the early universe and compact astrophysical objects, displaying its full matrix structure in both flavor and spin degrees of freedom. We include in our analysis neutrino-neutrino processes, scattering and annihilation with electrons and positrons, and neutrino scattering off nucleons (the latter in the low-density limit). After presenting the general structure of the collision terms, we take two instructive limiting cases. The one-flavor limit highlights the structure in helicity space and allows for a straightforward interpretation of the off-diagonal entries in terms of the product of scattering amplitudes of the two helicity states. As a result, the isotropic limit is relevant for studies of the early universe: in this case the terms involving spin coherence vanish and the collision term can be expressed in terms of two-dimensional integrals, suitable for computational implementation.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1321763

Alternate ID(s):: OSTI ID: 1306703

Report Number(s):: LA-UR-15-25029; PRVDAQ

Journal Information:: Physical Review D, Vol. 94, Issue 3; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 39 works

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References (67)

Treatment of neutrino oscillations in a thermal environment Stodolsky, L. Physical Review D, Vol. 36, Issue 8 https://doi.org/10.1103/PhysRevD.36.2273	journal	October 1987
Generalized Boltzmann formalism for oscillating neutrinos Strack, P.; Burrows, A. Physical Review D, Vol. 71, Issue 9 https://doi.org/10.1103/PhysRevD.71.093004	journal	May 2005
A relativistic quantum kinetic equation for nucleus-nucleus collisions Botermans, Wim; Malfliet, Rudi Physics Letters B, Vol. 215, Issue 4 https://doi.org/10.1016/0370-2693(88)90031-7	journal	December 1988
Neutrino energy transport in weak decoupling and big bang nucleosynthesis Grohs, E.; Fuller, G. M.; Kishimoto, C. T. Physical Review D, Vol. 93, Issue 8 https://doi.org/10.1103/PhysRevD.93.083522	journal	April 2016
Probing neutrino physics with a self-consistent treatment of the weak decoupling, nucleosynthesis, and photon decoupling epochs Grohs, E.; Fuller, George M.; Kishimoto, Chad T. Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 05 https://doi.org/10.1088/1475-7516/2015/05/017	journal	May 2015
Explosion mechanism, neutrino burst and gravitational wave in core-collapse supernovae Kotake, Kei; Sato, Katsuhiko; Takahashi, Keitaro Reports on Progress in Physics, Vol. 69, Issue 4 https://doi.org/10.1088/0034-4885/69/4/R03	journal	March 2006
A new spin on neutrino quantum kinetics Cirigliano, Vincenzo; Fuller, George M.; Vlasenko, Alexey Physics Letters B, Vol. 747 https://doi.org/10.1016/j.physletb.2015.04.066	journal	July 2015
Neutrino-antineutrino correlations in dense anisotropic media Serreau, Julien; Volpe, Cristina Physical Review D, Vol. 90, Issue 12 https://doi.org/10.1103/PhysRevD.90.125040	journal	December 2014
Remarks on the weak states of neutrinos Giunti, C.; Kim, C. W.; Lee, U. W. Physical Review D, Vol. 45, Issue 7 https://doi.org/10.1103/PhysRevD.45.2414	journal	April 1992
Supernova neutrino halo and the suppression of self-induced flavor conversion Sarikas, Srdjan; Tamborra, Irene; Raffelt, Georg Physical Review D, Vol. 85, Issue 11 https://doi.org/10.1103/PhysRevD.85.113007	journal	June 2012
Neutrino propagation in media: Flavor, helicity, and pair correlations Kartavtsev, A.; Raffelt, G.; Vogel, H. Physical Review D, Vol. 91, Issue 12 https://doi.org/10.1103/PhysRevD.91.125020	journal	June 2015
Kinetic equations for neutrino spin- and type-oscillations in a medium Rudzsky, M. A. Astrophysics and Space Science, Vol. 165, Issue 1 https://doi.org/10.1007/BF00653658	journal	January 1990
Erratum: Neutrino Opacities at High Temperatures and Densities Tubbs, David L.; Schramm, David N. The Astrophysical Journal, Vol. 205 https://doi.org/10.1086/154278	journal	April 1976
Erratum: Non-Abelian Boltzmann Equation for Mixing and Decoherence [Phys. Rev. Lett. 70 , 2363 (1993)] Raffelt, G. G.; Sigl, G.; Stodolsky, L. Physical Review Letters, Vol. 98, Issue 6 https://doi.org/10.1103/PhysRevLett.98.069902	journal	February 2007
ASCERTAINING THE CORE COLLAPSE SUPERNOVA MECHANISM: The State of the Art and the Road Ahead Mezzacappa, Anthony Annual Review of Nuclear and Particle Science, Vol. 55, Issue 1 https://doi.org/10.1146/annurev.nucl.55.090704.151608	journal	December 2005
Non-Abelian Boltzmann equation for mixing and decoherence Raffelt, G.; Sigl, G.; Stodolsky, L. Physical Review Letters, Vol. 70, Issue 16 https://doi.org/10.1103/PhysRevLett.70.2363	journal	April 1993
Nonequilibrium quantum fields: Closed-time-path effective action, Wigner function, and Boltzmann equation Calzetta, E.; Hu, B. L. Physical Review D, Vol. 37, Issue 10 https://doi.org/10.1103/PhysRevD.37.2878	journal	May 1988
Non-equilibrium corrections to the spectra of massless neutrinos in the early universe Dolgov, A. D.; Hansen, S. H.; Semikoz, D. V. Nuclear Physics B, Vol. 503, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00479-3	journal	October 1997
Neutrino–neutrino interactions and flavour mixing in dense matter Balantekin, A. B.; Pehlivan, Y. Journal of Physics G: Nuclear and Particle Physics, Vol. 34, Issue 1 https://doi.org/10.1088/0954-3899/34/1/004	journal	November 2006
Perturbative nonequilibrium thermal field theory Millington, Peter; Pilaftsis, Apostolos Physical Review D, Vol. 88, Issue 8 https://doi.org/10.1103/PhysRevD.88.085009	journal	October 2013
Effective dynamics of hot, soft non-Abelian gauge fields: Color conductivity and log $(1 / α)$ effects Arnold, Peter; Son, Dam T.; Yaffe, Laurence G. Physical Review D, Vol. 59, Issue 10 https://doi.org/10.1103/PhysRevD.59.105020	journal	April 1999
Extended evolution equations for neutrino propagation in astrophysical and cosmological environments Volpe, Cristina; Väänänen, Daavid; Espinoza, Catalina Physical Review D, Vol. 87, Issue 11 https://doi.org/10.1103/PhysRevD.87.113010	journal	June 2013
Perturbation Expansion for Real‐Time Green's Functions Craig, R. A. Journal of Mathematical Physics, Vol. 9, Issue 4 https://doi.org/10.1063/1.1664616	journal	April 1968
Flavour covariant transport equations: An application to resonant leptogenesis Dev, P. S. Bhupal; Millington, Peter; Pilaftsis, Apostolos Nuclear Physics B, Vol. 886 https://doi.org/10.1016/j.nuclphysb.2014.06.020	journal	September 2014
Collective Neutrino Oscillations Duan, Huaiyu; Fuller, George M.; Qian, Yong-Zhong Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1 https://doi.org/10.1146/annurev.nucl.012809.104524	journal	November 2010
Non-equilibrium corrections to the spectra of massless neutrinos in the early universe Dolgov, A. D.; Hansen, S. H.; Semikoz, D. V. Nuclear Physics B, Vol. 543, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00818-9	journal	March 1999
Oscillating neutrinos in the early Universe McKellar, Bruce H. J.; Thomson, Mark J. Physical Review D, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevD.49.2710	journal	March 1994
Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry Dreiner, Herbi K.; Haber, Howard E.; Martin, Stephen P. Physics Reports, Vol. 494, Issue 1-2 https://doi.org/10.1016/j.physrep.2010.05.002	journal	September 2010
Neutrino oscillations in matter Wolfenstein, L. Physical Review D, Vol. 17, Issue 9 https://doi.org/10.1103/PhysRevD.17.2369	journal	May 1978
Neutrino interactions in hot and dense matter Reddy, Sanjay; Prakash, Madappa; Lattimer, James M. Physical Review D, Vol. 58, Issue 1 https://doi.org/10.1103/PhysRevD.58.013009	journal	May 1998
Results from Core-Collapse Simulations with Multi-Dimensional, Multi-Angle Neutrino Transport Brandt, Timothy D.; Burrows, Adam; Ott, Christian D. The Astrophysical Journal, Vol. 728, Issue 1 https://doi.org/10.1088/0004-637X/728/1/8	journal	January 2011
Introduction to Nonequilibrium Quantum Field Theory Berges, Jürgen IX HADRON PHYSICS AND VII RELATIVISTIC ASPECTS OF NUCLEAR PHYSICS: A Joint Meeting on QCD and QCP, AIP Conference Proceedings https://doi.org/10.1063/1.1843591	conference	January 2004
Brownian Motion of a Quantum Oscillator Schwinger, Julian Journal of Mathematical Physics, Vol. 2, Issue 3 https://doi.org/10.1063/1.1703727	journal	May 1961
Two state systems in media and “Turing's paradox” Harris, R. A.; Stodolsky, L. Physics Letters B, Vol. 116, Issue 6 https://doi.org/10.1016/0370-2693(82)90169-1	journal	October 1982
Monte Carlo Study of Supernova Neutrino Spectra Formation Keil, Mathias Th.; Raffelt, Georg G.; Janka, Hans‐Thomas The Astrophysical Journal, Vol. 590, Issue 2 https://doi.org/10.1086/375130	journal	June 2003
Neutrino luminosity and matter-induced modification of collective neutrino flavor oscillations in supernovae Cherry, John F.; Wu, Meng-Ru; Carlson, J. Physical Review D, Vol. 85, Issue 12 https://doi.org/10.1103/PhysRevD.85.125010	journal	June 2012
Transport equations for oscillating neutrinos Zhang, Yunfan; Burrows, Adam Physical Review D, Vol. 88, Issue 10 https://doi.org/10.1103/PhysRevD.88.105009	journal	November 2013
Helicity oscillations of Dirac and Majorana neutrinos Dobrynina, Alexandra; Kartavtsev, Alexander; Raffelt, Georg Physical Review D, Vol. 93, Issue 12 https://doi.org/10.1103/PhysRevD.93.125030	journal	June 2016
Stellar core collapse - Numerical model and infall epoch Bruenn, S. W. The Astrophysical Journal Supplement Series, Vol. 58 https://doi.org/10.1086/191056	journal	August 1985
General kinetic description of relativistic mixed neutrinos Sigl, G.; Raffelt, G. Nuclear Physics B, Vol. 406, Issue 1-2 https://doi.org/10.1016/0550-3213(93)90175-O	journal	September 1993
Neutrino quantum kinetics Vlasenko, Alexey; Fuller, George M.; Cirigliano, Vincenzo Physical Review D, Vol. 89, Issue 10 https://doi.org/10.1103/PhysRevD.89.105004	journal	May 2014
Flavor stability analysis of dense supernova neutrinos with flavor-dependent angular distributions Mirizzi, Alessandro; Serpico, Pasquale Dario Physical Review D, Vol. 86, Issue 8 https://doi.org/10.1103/PhysRevD.86.085010	journal	October 2012
Relic neutrino decoupling including flavour oscillations Mangano, Gianpiero; Miele, Gennaro; Pastor, Sergio Nuclear Physics B, Vol. 729, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2005.09.041	journal	November 2005
Refraction and oscillations of neutrinos in the early universe Enqvist, K.; Kainulainen, K.; Maalampi, J. Nuclear Physics B, Vol. 349, Issue 3 https://doi.org/10.1016/0550-3213(91)90397-G	journal	February 1991
Halo modification of a supernova neutronization neutrino burst Cherry, John F.; Carlson, J.; Friedland, Alexander Physical Review D, Vol. 87, Issue 8 https://doi.org/10.1103/PhysRevD.87.085037	journal	April 2013
Neutrino oscillations in the early universe Barbieri, R.; Dolgov, A. Nuclear Physics B, Vol. 349, Issue 3 https://doi.org/10.1016/0550-3213(91)90396-F	journal	February 1991
Neutrino decoupling in the early Universe Hannestad, Steen; Madsen, Jes Physical Review D, Vol. 52, Issue 4 https://doi.org/10.1103/PhysRevD.52.1764	journal	August 1995
Neutrino Opacities at High Temperatures and Densities Tubbs, David L.; Schramm, David N. The Astrophysical Journal, Vol. 201 https://doi.org/10.1086/153909	journal	October 1975
Neutrino oscillations in matter Kuo, T. K. Physics Reports, Vol. 242, Issue 4-6 https://doi.org/10.1016/0370-1573(94)90170-8	journal	July 1994
Neutrino oscillations in the early universe Kirilova, D.; Chizhov, M. Nuclear Physics B - Proceedings Supplements, Vol. 100, Issue 1-3 https://doi.org/10.1016/s0920-5632(01)01473-6	journal	May 2001
Brownian motion of a quantum oscillator Carusotto, Salvatore Physical Review A, Vol. 11, Issue 4 https://doi.org/10.1103/physreva.11.1397	journal	April 1975
Neutrino Oscillations in Matter Denton, Peter Zenodo https://doi.org/10.5281/zenodo.3509905	text	January 2019
Results From Core-Collapse Simulations with Multi-Dimensional, Multi-Angle Neutrino Transport Brandt, Timothy D.; Burrows, Adam; Ott, Christian D. arXiv https://doi.org/10.48550/arxiv.1009.4654	text	January 2010
Supernova neutrino halo and the suppression of self-induced flavor conversion Sarikas, Srdjan; Tamborra, Irene; Raffelt, Georg arXiv https://doi.org/10.48550/arxiv.1204.0971	text	January 2012
Perturbative Non-Equilibrium Thermal Field Theory Millington, Peter; Pilaftsis, Apostolos arXiv https://doi.org/10.48550/arxiv.1211.3152	text	January 2012
Halo Modification of a Supernova Neutronization Neutrino Burst Cherry, John F.; Carlson, J.; Friedland, Alexander arXiv https://doi.org/10.48550/arxiv.1302.1159	text	January 2013
Extended evolution equations for neutrino propagation in astrophysical and cosmological environments Volpe, Cristina; Väänänen, Daavid; Espinoza, Catalina arXiv https://doi.org/10.48550/arxiv.1302.2374	text	January 2013
Neutrino Quantum Kinetics Vlasenko, Alexey; Fuller, George M.; Cirigliano, Vincenzo arXiv https://doi.org/10.48550/arxiv.1309.2628	text	January 2013
A New Spin on Neutrino Quantum Kinetics Cirigliano, Vincenzo; Fuller, George M.; Vlasenko, Alexey arXiv https://doi.org/10.48550/arxiv.1406.5558	preprint	January 2014
Neutrino-antineutrino correlations in dense anisotropic media Serreau, Julien; Volpe, Cristina arXiv https://doi.org/10.48550/arxiv.1409.3591	text	January 2014
Neutrino propagation in media: Flavor-, helicity-, and pair correlations Kartavtsev, A.; Raffelt, G.; Vogel, H. arXiv https://doi.org/10.48550/arxiv.1504.03230	text	January 2015
Neutrino energy transport in weak decoupling and big bang nucleosynthesis Grohs, E.; Fuller, G. M.; Kishimoto, C. T. arXiv https://doi.org/10.48550/arxiv.1512.02205	text	January 2015
Monte Carlo Study of Supernova Neutrino Spectra Formation Keil, Mathias Th.; Raffelt, Georg G.; Janka, Hans-Thomas arXiv https://doi.org/10.48550/arxiv.astro-ph/0208035	text	January 2002
Explosion Mechanism, Neutrino Burst, and Gravitational Wave in Core-Collapse Supernovae Kotake, Kei; Sato, Katsuhiko; Takahashi, Keitaro arXiv https://doi.org/10.48550/arxiv.astro-ph/0509456	text	January 2005
Neutrino-Neutrino Interactions and Flavor Mixing in Dense Matter Balantekin, A. B.; Pehlivan, Y. arXiv https://doi.org/10.48550/arxiv.astro-ph/0607527	text	January 2006
Introduction to Nonequilibrium Quantum Field Theory Berges, J. arXiv https://doi.org/10.48550/arxiv.hep-ph/0409233	text	January 2004
Non-Abelian Boltzmann Equation for Mixing and Decoherence Raffelt, G.; Sigl, G.; Stodolsky, L. arXiv https://doi.org/10.48550/arxiv.hep-ph/9209276	text	January 1992

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